Latest CAT Aptitude Question SOLUTION: If the diameter of the smaller circle is equal to the side of the square and the diagonal of the square is equal to the diameter of the bigger circle. Then what is the ratio of ar

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(#M40010046) CAT question Keep an EYE

If the diameter of the smaller circle is equal to the side of the square and the diagonal of the square is equal to the diameter of the bigger circle. Then what is the ratio of area of the small circle to the bigger circle ?

Asked In CAT Devendra Marghade (11 years ago)

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Arun  (11 years ago)

The ratio is =1/2
Let the radius of smaller circle be "r"
diametre of smaller circle= 2r
so 2r= a.
Diagonal of square=root(side^2+side^2)=aroot2
Thus in terms of r,the diagonal of square= 2r root2 which is equal to Diametre of bigger circle.
=> radius of bigger circle will be =(2r root2/2) =r root2

Thus area of smaller circle=Pie r^2
Area of bigger circle=Pie (r root 2)^2 = 2pie r^2

Thus Ratio = 1/2 (ANs)

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